Rational Curves on Quasi-Projective Surfaces PDF Download
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Author: Seán Keel
Publisher: American Mathematical Soc.
ISBN: 0821810960
Category : Mathematics
Languages : en
Pages : 169
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Book Description
This book is intended for graduate students and research mathematicians working in algebraic geometry
Author: Seán Keel
Publisher: American Mathematical Soc.
ISBN: 0821810960
Category : Mathematics
Languages : en
Pages : 169
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Book Description
This book is intended for graduate students and research mathematicians working in algebraic geometry
Author: Seán Keel
Publisher:
ISBN: 9781470402600
Category : Algebraic varieties
Languages : en
Pages : 153
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Book Description
This book is intended for graduate students and research mathematicians working in algebraic geometry
Author: Carlo Gasbarri
Publisher: American Mathematical Soc.
ISBN: 1470414589
Category : Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Arithmetic problems. Diophantine geometry
Languages : en
Pages : 165
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Book Description
This volume contains papers from the Short Thematic Program on Rational Points, Rational Curves, and Entire Holomorphic Curves and Algebraic Varieties, held from June 3-28, 2013, at the Centre de Recherches Mathématiques, Université de Montréal, Québec, Canada. The program was dedicated to the study of subtle interconnections between geometric and arithmetic properties of higher-dimensional algebraic varieties. The main areas of the program were, among others, proving density of rational points in Zariski or analytic topology on special varieties, understanding global geometric properties of rationally connected varieties, as well as connections between geometry and algebraic dynamics exploring new geometric techniques in Diophantine approximation. This book is co-published with the Centre de Recherches Mathématiques.
Author: Akira Ohbuchi
Publisher: World Scientific
ISBN: 9814486736
Category : Mathematics
Languages : en
Pages : 272
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Book Description
This book is the proceedings of the conference “Algebraic Geometry in East Asia” which was held in International Institute for Advanced Studies (IIAS) during August 3 to August 10, 2001. As the breadth of the topics covered in this proceedings demonstrate, the conference was indeed successful in assembling a wide spectrum of East Asian mathematicians, and gave them a welcome chance to discuss current state of algebraic geometry. Contents:Introduction to Arakelov Geometry (S Kawaguchi et al.)Double Covering of Smooth Algebraic Curves (C Keem)Algebraic Surfaces with Quotient Singularities — Including Some Discussion on Automorphisms and Fundamental Groups (J Keum & D-Q Zhang)Linear Series of Irregular Varieties (J A Chen & C D Hacon)Hecke Curves on the Moduli Space of Vector Bundles (J-M Hwang)Minimal Resolution via Gröbner Basis (Y Ito)Deformation Theory of Smoothable Semi Log Canonical Surfaces (Y Lee)Modular Curves and Some Related Issues (V NguyenKhac)On the Asymptotic Behavior of Admissible Variations of Mixed Hodge Structure (G Pearlstein)Degeneration of SL(n)-Bundles on a Reducible Curve (X-T Sun)Refined Brill–Noether Locus and Non-Abelian Zeta Functions for Elliptic Curves (L Weng) Readership: Graduate students, academics and researchers in algebra & number theory and geometry & topology. Keywords:Algebraic Geometry;East Asia;Arakelov Theory;Curve Theory;Surface Theory
Author: Akira Ohbuchi
Publisher: World Scientific
ISBN: 9789812705105
Category : Mathematics
Languages : en
Pages : 280
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Book Description
This book is the proceedings of the conference OC Algebraic Geometry in East AsiaOCO which was held in International Institute for Advanced Studies (IIAS) during August 3 to August 10, 2001.As the breadth of the topics covered in this proceedings demonstrate, the conference was indeed successful in assembling a wide spectrum of East Asian mathematicians, and gave them a welcome chance to discuss current state of algebraic geometry."
Author: Fabrizio Catanese
Publisher: Springer Science & Business Media
ISBN: 3540354808
Category : Mathematics
Languages : en
Pages : 508
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Book Description
This collection of surveys present an overview of recent developments in Complex Geometry. Topics range from curve and surface theory through special varieties in higher dimensions, moduli theory, Kähler geometry, and group actions to Hodge theory and characteristic p-geometry. Written by established experts this book will be a must for mathematicians working in Complex Geometry
Author: Nero Budur
Publisher: American Mathematical Soc.
ISBN: 1470434881
Category : Festschriften
Languages : en
Pages : 355
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Book Description
This volume contains the proceedings of the conference Local and Global Methods in Algebraic Geometry, held from May 12–15, 2016, at the University of Illinois at Chicago, in honor of Lawrence Ein's 60th birthday. The articles cover a broad range of topics in algebraic geometry and related fields, including birational geometry and moduli theory, analytic and positive characteristic methods, geometry of surfaces, singularity theory, hyper-Kähler geometry, rational points, and rational curves.
Author: János Kollár
Publisher: American Mathematical Soc.
ISBN: 082180894X
Category : Geometry, Algebraic
Languages : en
Pages : 469
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Book Description
Author: András Némethi
Publisher: Springer Nature
ISBN: 3031067533
Category : Mathematics
Languages : en
Pages : 732
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Book Description
This monograph provides a comprehensive introduction to the theory of complex normal surface singularities, with a special emphasis on connections to low-dimensional topology. In this way, it unites the analytic approach with the more recent topological one, combining their tools and methods. In the first chapters, the book sets out the foundations of the theory of normal surface singularities. This includes a comprehensive presentation of the properties of the link (as an oriented 3-manifold) and of the invariants associated with a resolution, combined with the structure and special properties of the line bundles defined on a resolution. A recurring theme is the comparison of analytic and topological invariants. For example, the Poincaré series of the divisorial filtration is compared to a topological zeta function associated with the resolution graph, and the sheaf cohomologies of the line bundles are compared to the Seiberg–Witten invariants of the link. Equivariant Ehrhart theory is introduced to establish surgery-additivity formulae of these invariants, as well as for the regularization procedures of multivariable series. In addition to recent research, the book also provides expositions of more classical subjects such as the classification of plane and cuspidal curves, Milnor fibrations and smoothing invariants, the local divisor class group, and the Hilbert–Samuel function. It contains a large number of examples of key families of germs: rational, elliptic, weighted homogeneous, superisolated and splice-quotient. It provides concrete computations of the topological invariants of their links (Casson(–Walker) and Seiberg–Witten invariants, Turaev torsion) and of the analytic invariants (geometric genus, Hilbert function of the divisorial filtration, and the analytic semigroup associated with the resolution). The book culminates in a discussion of the topological and analytic lattice cohomologies (as categorifications of the Seiberg–Witten invariant and of the geometric genus respectively) and of the graded roots. Several open problems and conjectures are also formulated. Normal Surface Singularities provides researchers in algebraic and differential geometry, singularity theory, complex analysis, and low-dimensional topology with an invaluable reference on this rich topic, offering a unified presentation of the major results and approaches.
Author: J. C. Misra
Publisher: Alpha Science Int'l Ltd.
ISBN: 9788173194870
Category : Mathematics
Languages : en
Pages : 528
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Book Description
This comprehensive volume introduces educational units dealing with the various emerging branches of Applicable Mathematics. It consists of chapters that deal with the major areas of pure mathematics and emphasises the cross-field application of the skills conveyed within.
